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A Class of Generating Functions for the Jacobi and Related Polynomials
Author(s) -
Srivastava H. M.,
Popov Blagoj S.
Publication year - 1988
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1988783177
Subject(s) - jacobi polynomials , mathematics , gegenbauer polynomials , classical orthogonal polynomials , wilson polynomials , orthogonal polynomials , class (philosophy) , generating function , jacobi operator , discrete orthogonal polynomials , difference polynomials , pure mathematics , algebra over a field , mathematical analysis , computer science , artificial intelligence
This paper aims at presenting a general class of mixed generating functions for the Jacobi polynomials. It is also shown how the main generating function can be suitably applied to yield numerous further results involving Jacobi polynomials and various other polynomials associated with them.